In the case \(M=1\)  the Grassmannian becomes the projective space, the chordal product equals the squared chordal distance, and the literature is much more prolific, going back to [1]} (although Shannon studied the case of the geodesic, not chordal, distance), [2]} for the chordal and the geodesic distance and more recently [3]} where a more complete set of references can be found. The optimal value of (REF ) in that case has been studied in [4]} and [5]} as a case of Riesz energy, showing that the minimum value is equal to the average computed in Corollary REF , minus a term of the form
\(O\left(K^{1+\frac{N}{T-1}}\right)=o(K^2),\quad \text{ for }N\le T-2.\) 
